On-line preprints and reprints

G. A. Edgar
Department of Mathematics
The Ohio State University
Columbus, OH 43210   U.S.A.

files available

Fractional iteration of series and transseries 

Transseries: ratios, grids, and witnesses 

Transseries: composition, recursion, and convergence 

Transseries for beginners 

Weak separation in self-similar fractals   Topology Proceedings 34 (2009) 245-282 [with Manav Das]

Eigenvalues of a self-differential operator  International Journal of Pure and Applied Mathematics 52 (2009) 87--115 [with Yuri Dimitrov]

Solutions of self-differential functional equations  Real Analysis Exchange 32 (2007) 29-54 [with Yuri Dimitrov]

Centered densities and fractal measures  New York Journal of Mathematics 13 (2007) 33-87

Separation Properties for Graph-Directed Self-Similar Fractals  Topology and its Applications 152 (2005) 138-156 [with Manav Das]

Borel subrings of the reals  Proc. Amer. Math. Soc. 131 (2003) 1121-1129 [with Chris Miller]

Hausdorff dimension, analytic sets and transcendence Real Analysis Exchange 27 (2002) 335-339 [with Chris Miller]   

Packing measure in general metric space. Real Analysis Exchange 26 (2001) 831-852

The forest fractal puzzle.   Computers & Graphics 24 (2000) 133-141

A fractal dimension estimate for a graph-directed IFS of non-similarities. [with J. Golds] Indiana Univ. Math. J. 48 (1999) 429-448   [ errata]

Fine variation and fractal measures. Real Analysis Exchange 20 (1995) 256-280   MR 96a:28012

Packing measure as a gauge variation. Proc. Amer. Math. Soc. 122 (1994) 167-174    MR 94k:28009   [ errata]

Multifractal decompositions of digraph recursive fractals.  Proc. London Math. Soc. 65 (1992) 604--628. [with R. D. Mauldin]    MR 93h:28010   [ errata]

Three IFS programs for Macintosh.  Amygdala #24 (June 29, 1991) pp. 3--8.   [ errata]

Complex martingale convergence  In: Banach Spaces, N. Kalton and E. Saab (editors), Lecture Notes in Mathematics 1166, Springer-Verlag, 1985. pp. 38-59.

Realcompactness and measure-compactness of the unit ball in a Banach space  In: Measure Theory, Oberwolfach 1983, D. Kölzow and D. Maharam-Stone (editors), Lecture Notes in Mathematics 1089, Springer-Verlag, 1984. pp. 232-240.

Two integral representations  In: Measure Theory and Its Applications, J. Belley, J. Dubois, P. Morales (editors), Lecture Notes in Mathematics 1033, Springer-Verlag, 1983. pp. 193-198.

On pointwise-compact sets of measurable functions  In: Measure Theory, Oberwolfach 1981, D. Kölzow and D. Maharam-Stone (editors), Lecture Notes in Mathematics 945, Springer-Verlag, 1982. pp. 24-28.

On compactness and optimality of stopping times In: Martingale Theory in Harmonic Analysis and Banach Spaces, J.-A. Chao and W. A. Woyczynski (editors), Lecture Notes in Mathematics 939, Springer-Verlag, 1982. pp. 36--61. [with A. Millet and L. Sucheston]

A long James space. In: Measure Theory, Oberwolfach 1979, D. Kölzow (editor), Lecture Notes in Mathematics 749, Springer-Verlag, 1980. pp. 31-37.

On the Radon-Nikodym property and martingale convergence  In: Vector Space Measures and Applications II, R. M. Aron and S. Dineen (editors), Lecture Notes in Mathematics 645, Springer-Verlag, 1978. pp. 62-76.